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If 18 : 13.5 : : 16 : x and (x + y) : y : : 18 : 10, then what is the value of y?

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If 18 : 13.5 : : 16 : x and (x + y) : y : : 18 : 10, then what is the value of y?

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1 Answer

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18 : 13.5 : : 16 : x

x = (16 × 13.5)/18

x = 12

Now,

(x + y) : y : : 18 : 10

(12 + y) : y : : 9 : 5

5(12 + y) = 9y

60 + 5y = 9y

4y = 60

y = 15

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